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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1067

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. CONOTDES BARABOLTOTM.
  2. criplus est, conoides rerd ciuldem selquialcer. igieur l contus Pertacue, L. CHCCOnOI
  3. desq. cslindrus aurem 6. F. X quo PATeC propOlicum.
  4. PROPOSITIO CLV
  5. Ionoidi AB C inscribatur quicun-
  6. sque cxlindrus DOHIF.
  7. Oporteat rationem conoidis ad cy-
  8. lindrum in(cripcum nocum Facere.
  9. Demonstratio.
  10. Scensum est cylindrum cui conoidesin-
  11. scribitur, duplu esse conoideos infcripri
  12. lgicur racio cylindri super bali AIC, ee alci-
  13. rudinc R B ad cylindru, cuius basIs CA D OFI.
  14. de alcicudo FHI. dupla a est eius quaim habce
  15. ratio conoideos ABC ad cundem crlindrum
  16. inlcriptum; noca igitur est racio conoidis ad
  17. inscripcum exlindrum, cum noca sicracio cu-
  18. iusuis eylindri ad quemuis exlindrum.
  19. PROPOSITIO CLIX.
  20. IE conoides AB C cylindro ADCF.
  21. Dinscripeum, _ plano F HIG POLIEO,
  22. quod aequidistet basi AD C, AaC Cy-
  23. lindrus FHOI, continens conoides
  24. FBC, e haclectio AB C per commu-
  25. DEM AXCIM.
  26. Dico cylindrum ADCF ad c
  27. drum FHCL habere quadruplicatan
  28. rationem AC ad C+ F lincam.
  29. Demonstratio.
  30. 1067
  31. cylindrum AD C F. ad cylindrum F FTGF
  32. quadruplicacam quoque habere rationem eius quat C AabeC dd LC.
  33. xiindrus enim ADCF 2d FHIGT, r2.
  34. tionem habet composicam exbal ADC
  35. ad Balm FFT C, guxe duplicaca est racionis
  36. AC 2d FO, e ex racione alcicudinis C P. ad
  37. OI hoc eAt R B ad BL, que est paricer du-lA
  38. plicara b rarionis AC ad FC, cum sectio
  39. per BK, axem conoidis exhibeat parabolam
  40. ABC. unde cum racio BR ad BL, ducta in
  41. racionem dupticaram AC adG F, producar
  42. quadruplicatam A C ad CF, manifectum Ac
  43. 1a
  44. Ao e u eat e t at t t a et t t pt s t t pt u te t te e pe u ie a 1 p 1 1 t t at s t a l

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1067. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1124?run=74